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Finding the Third Proportional to 463,745 and 1,006,803

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Solution

The third proportional to 463,745 and 1,006,803 is: 2,185,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,745 : 1,006,803 = 1,006,803 : x
  2. Step 2: Convert to fraction form
    463,745/1,006,803 = 1,006,803/x
  3. Step 3: Cross multiply
    463,745x = 1,006,803 × 1,006,803
  4. Step 4: Simplify right side
    463,745x = 1,013,652,280,809
  5. Step 5: Solve for x
    x = 1,013,652,280,809/463,745
  6. Step 6: Final answer
    x = 2,185,796.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.